High School

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For items 1-3, find the area of the given circle using its diameter/radius. Use [tex]\pi[/tex] (3.14) for your final answer.

1. Radius: 6 cm
Area:
A. 110.04 cm²
B. 111.05 cm²
C. 112.06 cm²
D. 113.04 cm²

2. Radius: 12 cm
Area:
A. 452.16 cm²
B. 453.40 cm²
C. 454.06 cm²
D. 335.04 cm²

3. Radius: 5 cm
Area:
A. 15.25 cm²
B. 21.05 cm²
C. 12.06 cm²
D. 78.50 cm²

4. Amari bought a circular carpet with a radius of 4.75 m. If he placed it in his living room, how much area was covered by the carpet? What are the given facts in the problem?
A. A circular carpet with a radius of 4.75 m.
B. A living room with a carpet.
C. Luffy bought a carpet for his room.
D. Katara loves carpets.

5. What is the area of a circular mirror with a radius of 8 cm?
A. 52.25 cm²
B. 55.02 cm²
C. 165.06 cm²
D. 200.96 cm²

6. Which problem can you derive from the given facts in the box?

Large Pizza
Radius: 7 inches
Area:
A. Amari bought a large pizza with a radius of 7 inches. What is the total area of the pizza?
B. Blackpink members will be having a pizza party. What will be the toppings of their pizza?
C. Rosé and Lisa are hungry. How many large pizzas will they be able to eat?
D. Jenny is making a large pepperoni pizza. How long will it take for Jenny to make it?

7-8. Visualize the given unit inside the box.

1 cm³
18 cm³
7.15 cm³
18.27 cm³

Answer :

Let's solve each problem step-by-step:

  1. Radius: 6 cm

    The formula for the area of a circle is [tex]A = \pi r^2[/tex], where [tex]r[/tex] is the radius.

    [tex]A = 3.14 \times 6^2[/tex]
    [tex]A = 3.14 \times 36[/tex]
    [tex]A = 113.04 \text{ cm}^2[/tex]

    The correct answer is D. 113.04 cm².

  2. Radius: 12 cm

    Again, using the formula [tex]A = \pi r^2[/tex]:

    [tex]A = 3.14 \times 12^2[/tex]
    [tex]A = 3.14 \times 144[/tex]
    [tex]A = 452.16 \text{ cm}^2[/tex]

    The correct answer is A. 452.16 cm².

  3. Radius: 5 cm

    Using the area formula:

    [tex]A = 3.14 \times 5^2[/tex]
    [tex]A = 3.14 \times 25[/tex]
    [tex]A = 78.5 \text{ cm}^2[/tex]

    The correct answer is D. 78.50 cm².

  4. Amari bought a circular carpet

    The problem gives us: A circular carpet with a radius of 4.75 m.

    The correct choice is A. A circular carpet with a radius of 4.75 m.

  5. Circular mirror with a radius of 8 cm

    Again, using the area formula:

    [tex]A = 3.14 \times 8^2[/tex]
    [tex]A = 3.14 \times 64[/tex]
    [tex]A = 200.96 \text{ cm}^2[/tex]

    The correct answer is D. 200.96 cm².

  6. Large Pizza Radius:

    You have a large pizza with a radius of 7 inches, and you want to find the total area.

    Solution: [tex]A = 3.14 \times 7^2[/tex]
    [tex]A = 3.14 \times 49[/tex]
    [tex]A = 153.86 \text{ in}^2[/tex]

    The appropriate problem is A. Amari bought a large pizza with a radius of 7 inches. What is the total area of the pizza?

I hope this helps! Let me know if you have any more questions.

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Rewritten by : Barada